Let {S,} be sequences, find the radius of convergence of power series (a) S, =* 2m 2" m=1 210m (z+i)" m (b) Sm m! m=1 (c) S, = 5 m!(z + 2)m m" m m=1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let {S,} be sequences, find the radius of convergence of power series
3
2m
m
(a) S, = 2
2m
m=1
S2 10m
(b) S, =
Σ
„(!+ z)
т!
m=1
m!(z+2)"
(c) S, =
m"
m=1
Transcribed Image Text:Let {S,} be sequences, find the radius of convergence of power series 3 2m m (a) S, = 2 2m m=1 S2 10m (b) S, = Σ „(!+ z) т! m=1 m!(z+2)" (c) S, = m" m=1
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